Isogeny coincidences between families of elliptic curves

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• Martin Orr (Manchester)
• Tuesday 12 March 2024, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Jef Laga.

There are only finitely many algebraic numbers t such that the three elliptic curves with j-invariants t, -t, 2t are all isogenous to each other. This is predicted by the Zilber-Pink conjecture and was proved by Christopher Daw and myself. In this talk, I will introduce the Zilber-Pink conjecture for families of elliptic curves, and outline our proof of the statement in the first sentence. This builds on previous work of Habegger and Pila and uses transcendence properties of G-functions.

This talk is part of the Number Theory Seminar series.

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